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Simplifying 5 + 40w = 10w + 25 Reorder the terms: 5 + 40w = 25 + 10w Solving 5 + 40w = 25 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 5 + 40w + -10w = 25 + 10w + -10w Combine like terms: 40w + -10w = 30w 5 + 30w = 25 + 10w + -10w Combine like terms: 10w + -10w = 0 5 + 30w = 25 + 0 5 + 30w = 25 Add '-5' to each side of the equation. 5 + -5 + 30w = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 30w = 25 + -5 30w = 25 + -5 Combine like terms: 25 + -5 = 20 30w = 20 Divide each side by '30'. w = 0.6666666667 Simplifying w = 0.6666666667
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